# Quantum entropy-typical subspace and universal data compression

Quantum entropy-typical subspace and universal data compression The quantum entropy-typical subspace theory is specified. It is shown that any $$\rho ^{\otimes n}$$ ρ ⊗ n with von Neumann $$\hbox {entropy}\le h$$ entropy ≤ h can be preserved approximately by the entropy-typical subspace with $$\hbox {entropy}=h$$ entropy = h . This result implies an universal compression scheme for the case that the von Neumann entropy of the source does not exceed $$h$$ h . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Quantum entropy-typical subspace and universal data compression

, Volume 13 (8) – Jun 4, 2014
7 pages

/lp/springer_journal/quantum-entropy-typical-subspace-and-universal-data-compression-89P8ZaWDk7
Publisher
Springer US
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0763-5
Publisher site
See Article on Publisher Site

### Abstract

The quantum entropy-typical subspace theory is specified. It is shown that any $$\rho ^{\otimes n}$$ ρ ⊗ n with von Neumann $$\hbox {entropy}\le h$$ entropy ≤ h can be preserved approximately by the entropy-typical subspace with $$\hbox {entropy}=h$$ entropy = h . This result implies an universal compression scheme for the case that the von Neumann entropy of the source does not exceed $$h$$ h .

### Journal

Quantum Information ProcessingSpringer Journals

Published: Jun 4, 2014

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